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Finding the Fourth Proportional to 8,596.60, 12,896.70 and 3,402.52

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Solution

The fourth proportional to 8,596.60, 12,896.70 and 3,402.52 is: 5,104.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596.60 : 12,896.70 = 3,402.52 : x
  2. Step 2: Convert to fraction form
    8,596.60/12,896.70 = 3,402.52/x
  3. Step 3: Cross multiply
    8,596.60x = 12,896.70 × 3,402.52
  4. Step 4: Simplify right side
    8,596.60x = 43,881,279.68
  5. Step 5: Solve for x
    x = 43,881,279.68/8,596.60
  6. Step 6: Final answer
    x = 5,104.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.